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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.03659 |
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| _version_ | 1866910925828653056 |
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| author | Fioravanti, Stefano |
| author_facet | Fioravanti, Stefano |
| contents | This paper explores applications of the so-called Freese's technique, a classical approach to study the congruence variety of a given algebra. We leverage this tool to investigate lattices that are admissible as congruence sublattice of a given algebra. In particular, we present a novel characterization of congruence modular varieties, Taylor varieties, and varieties satisfying a non-trivial congruence identity by means of lattice omission. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_03659 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On some admissible lattices Fioravanti, Stefano Rings and Algebras 06B10, 06B99 This paper explores applications of the so-called Freese's technique, a classical approach to study the congruence variety of a given algebra. We leverage this tool to investigate lattices that are admissible as congruence sublattice of a given algebra. In particular, we present a novel characterization of congruence modular varieties, Taylor varieties, and varieties satisfying a non-trivial congruence identity by means of lattice omission. |
| title | On some admissible lattices |
| topic | Rings and Algebras 06B10, 06B99 |
| url | https://arxiv.org/abs/2504.03659 |